Arithmetic
Compute 6∙34+(-17)(2∙6)
0
What is the sum of all positive integer cubes that are less than 67?
100
When $257$ is divided by m, the remainder is 5. How many possible positive integer values are there for m?
14
Five consecutive two-digit positive integers, each less than 30, are not prime. What is the largest of these five integers?
28
Find the greatest common factor of 144 and 405.
9
Find -(-(-5))(-3)+11
26
Find x, where x6=9-3 and x>0
3-1
What is the largest factor of 54,321 that is less than 54,321?
18,107
What is the largest prime factor of 3328?
13
Find the product of the greatest common divisor and the least common multiple of 100 and 120.
12000
Compute 996+45+104+5.
1150
Find the value of n if n=(42-22)+(62-42)+(82-62)-(22+42)+(42+62)-(62+82)
-8
Suppose that a is a multiple of 3 and b is a multiple of 6. Which of the following statements must be true?
A. b is a multiple of 3.
B. a-b is a multiple of 3.
C. a-b is a multiple of 6.
D. a-b is a multiple of 2.
A and B
What prime is 4 greater than a perfect square and 7 less than the next perfect square?
29
One owl hoots every 3 hours, a second owl hoots every 8 hours, and a third owl hoots every 12 hours. If they all hoot together at the start, how many times during the next 80 hours will just two of the owls hoot together?
3, specifically (12,36,60)
What is the result when you multiply a nonzero number by the reciprocal of its negation?
-1
Compute
(((((-345)4)2)0)-2)-4
1
Use only 1's and 2's, what is the smallest integer you can create which is divisible by both 3 and 8?
2112
Four consecutive positive prime numbers have a sum that is divisible by three. What is the smallest possible value of this sum?
5+7+11+13=36
What is the smallest positive four-digit number that is divisible by 2, 3, 4, 5, 6, and 7
420
Determine the value of the expression:
8(5021)(3054)+(-8)(-5021)(-3054)+3
3
Let M = 4a2-2b2+a. Let j be the value of M when a = 5 and b=3, and let k be the value of M when a=-1 and b=4. Calculate j+2k.
17
What is the least four-digit positive integer, with all different digits, that is divisible by each of its digits?
1236
Let A = 1, B = 2, C = 3, … , Z = 26. The product value of a word is equal to the product of the values of its letters. For example, CAB has a product value of 3 × 1 × 2 = 6. What common English word has a product value of 715? It does not have to be of length 3.
MAKE
What is the largest common multiple of 8 and 12 that is less than 200?
192